Determine: (|3-2x|)/(x^2+5)le 0

stratsticks57jl

stratsticks57jl

Answered question

2022-07-25

Determine: | 3 2 x | x 2 + 5 0

Answer & Explanation

Tamoni5e

Tamoni5e

Beginner2022-07-26Added 14 answers

Step 1
Since the denominator = ( x 2 ) + 5 5
we multiply both sides of the inequality by the denominator gives,
| 3 2 x | 0
( 3 2 x ) 0   or   ( 3 2 x ) 0 3 2 x   or   3 2 x x 3 2   or   x 3 2
therefore,
the solution of x is real set = R.
chivistaelmore

chivistaelmore

Beginner2022-07-27Added 2 answers

Step 1
The expression ( x 2 + 5 ) 5 for any value of x.
| 3 2 x | can not be less than zero
so the only solution is when the equality holds, i.e , when | 3 2 x | = 0 x = 1.5

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